Home / 5,378-9,964

Finding the Third Proportional to 5,378 and 9,964

Calculator

Solution

The third proportional to 5,378 and 9,964 is: 18,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 9,964 = 9,964 : x
  2. Step 2: Convert to fraction form
    5,378/9,964 = 9,964/x
  3. Step 3: Cross multiply
    5,378x = 9,964 × 9,964
  4. Step 4: Simplify right side
    5,378x = 99,281,296
  5. Step 5: Solve for x
    x = 99,281,296/5,378
  6. Step 6: Final answer
    x = 18,460.64

Related Problems

Find third proportional to 2,689 and 4,982
Half scale
Find third proportional to 10,756 and 19,928
Double scale
Find third proportional to 5,380 and 9,968
Similar ratio
Find third proportional to 8,067 and 14,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.